Institut für Mathematik


Modul:   MAT870  Zurich Colloquium in Applied and Computational Mathematics

Asymptotically optimal a priori and a posteriori error estimates for edge finite element discretizations of time-harmonic Maxwell's equations

Vortrag von Dr. Théophile Chaumont-Frelet

Sprecher eingeladen von: Prof. Dr. Stefan Sauter

Datum: 11.10.23  Zeit: 16.30 - 17.30  Raum: ETH HG E 1.2

'Time-harmonic Maxwell's equations model the propagation of electromagnetic waves, and their numerical discretization by finite elements is instrumental in a large array of applications. In the simpler setting of acoustic waves, it is known that (i) the Galerkin Lagrange finite element approximation to a Helmholtz problem becomes asymptotically optimal as the mesh is refined. Similarly, (ii) asymptotically constant-free a posteriori error estimates are available for Helmholtz problems. In this talk, considering Nédélec finite element discretizations of time-harmonic Maxwell's equations, I will show that
(i) still holds true and propose an a posteriori error estimator providing
(ii). Both results appear to be novel contributions to the existing literature.'''